‘Counting’
conspirators at the University of Cape Town (UCT)
Tim Crowe –
B.A., M.Sc., Ph.D. & F.U.C.T.
Mathematics began as a formal discipline in the 6th century BCE with the Pythagoreans. They coined the term "mathematics" from the ancient Greek μάθημα (mathema), meaning "subject of instruction". Legend clouds Pythagoras’ ‘accomplishments’. ‘He/she’ may have been a collective of predecessors/contemporaries.
Although,
the oldest undisputed mathematical documents are from Mesopotamia
and dynastic Egypt, c. 2000 BCE, they show no appreciation of the difference
between exact and approximate solutions and scientific problem solving. Most importantly, the documents provide no
explicit statement of the need for proofs or logical principles. Pre-Greek mathematics employs inductive
reasoning - repeated observations used to establish’ rules of thumb’.
After Pythagoras,
the next major mathematical ‘player’, Euclid (c.
300 BCE), systematized ancient Greek and
Eastern mathematics/geometry. Also
poorly documented historically, Euclid wrote the most widely used
mathematics/geometry textbook in history - The
Elements. It collected,
organized, and deductively proved geometric ideas previously used as applied
techniques. Modern Western mathematics has been described as “a series of
footnotes to Euclid”, either developing his ideas or challenging them.
Although, much further development of maths occurred over the next four centuries, it built on these foundations.
Or so
scientists thought.
Decolonization with a ‘big bang’In response to an occupation of the Dean of Health Science’s suite, Price and Transformation DVC Loretta Feris (professor of law and former vice-chairperson of the Black Academic Caucus) created the Curriculum Change Working Group (CCWG). The CCWG is co-chaired by critical theorist / race theorists Associate Profs Harry Garuba (Centre for African Studies) and Elelwani Ramugondo (Department of Occupational Therapy). Other members were/are Prof. Sandra Klopper (DVC: Teaching and Learning), Prof. Sakhela Buhlungu (Dean of Humanities), Associate Prof. Harsha Kathard (Department of Health Sciences Education), Associate Prof. Denver Hendricks (Deputy Dean of Health Sciences), Dr Kasturi Behari-Leak (Academic Staff Development, CHED), Goitsione Mokou (education master’s student), Rorisang Moseli (2016 SRC President) and Brian Kamanzi (RMF and engineering master’s student).
Apparently without consulting eminent mathematical scientist DVCs Phakeng (National Research Foundation – B-rated) and Daya Reddy (A-rated) and mathematical scientists ‘up the hill’, Feris and the CCWG invited Prof. C.K. Raju to kick off the decolonization debate vis-à-vis maths.
Before I pursue this matter further, allow me to show
my envy of maths colleagues. The Department
of Mathematics and Applied Mathematics at UCT is the top-rated mathematics
department in Africa,
with 20 NRF rated researchers, including 1 P and 5
A-rated researchers. Although I don’t
have access to the relevant sources, I gainsay that it’s in the top 50
worldwide. Department members take
enormous pride in their central role in the research and teaching of the Faculty
of Science and never-ending quest for continual improvement.
C.K. Raju
holds an M.Sc. in mathematics from Mumbai and a Ph.D. from the Indian
Statistical Institute. He taught mathematics at Pune University before helping
to build India's first parallel supercomputer. After a fellowship at the Indian
Institute of Advanced Study and the National Institute of Science, Technology
and Development Studies, he resumed university teaching. But, his current position as “Distinguished
Professor” is at Inmantec (a business school in Ghaziabad) and the Centre for
Studies in Civilizations (a NGO in New Delhi) based in India. According to their website, the
Centre "aims at conducting, promoting and facilitating studies and
research in the broad areas of history, philosophy, culture, science and
technology", and "undertakes and promotes research in relation to the
past, the present and the future courses, contents, and trends of civilizations
in general, and Indian civilization in particular”.
The ‘debate’
Raju and
three panelists spoke/debated at UCT on 19 September 2017. My comments
on this event are summarized elsewhere.
Here I summarize the what has been described as the post-debate, conspiratorial
“Raju Affair”.
According to
the vast majority (ALL?) of UCT’s mathematical scientists, Raju grossly
mis-represents the history of Mathematics and uses ad hominem attacks rather than logical arguments to ‘deal’ with his
critics. In short, he can be a
scientific bully and, from reliable sources, is not averse to using this ‘approach’
on young, black women. My primary guides
are, however, applied mathematician Dr Henri Laurie – a free-thinking Afrikaner
and son of a member of the Broederbond – who brilliantly taught my daughter, and
mathematical physicist Assoc. Prof. Jeff Murugan. Jeff is a black
South African of Indian descent whose ‘lived experience’ epitomizes that of the
most socio-economically challenged students at UCT, regardless of ‘self-identity’. Like Henri, Jeff is an
outstanding teacher, but in pure as well as applied mathematics. Furthermore, he
heads a highly productive research group and is deputy HoD and former member of
the Institute for Advanced Study in Princeton.
Since Henri and Jeff are both outstanding lecturers, I have no
hesitation agreeing with their negative pedagogical assessments of Raju.
I list a few
examples supporting my conclusions using Raju quotes:
Formal mathematicians
“facilitated and directed astronomical observation missions in order to help
the French better determine the location of St. Domingue, the island that
houses the modern nations of Haiti and the Dominican Republic. Why? Because
this would help make the delivery of slaves and export of the products of their
labor more efficient.”
“The report
about me in the Daily
Maverick (29 September) is character assassination, at its worst.“
“Pythagoras is myth and there is no historical evidence for Euclid”.
“Deductive proof doesn’t lead to valid knowledge.”
“Formal mathematics creates a slave mentality.”
“The entire colonial tradition of education teaches us to trust only Western-approved experts, and distrust everyone else.”
The superiority of alternative philosophy of mathematics - zeroism, has been demonstrated by “teaching experiments performed with eight groups in five universities in three countries – Malaysia, Iran and India”.
“My decolonised math is so easy that the calculus can be taught in five days”. This has been “publicly discussed in newspapers, and blogs, and prominently reported in newspapers, magazine articles, interviews and videos”.
“Using Zeroism, I have provided a better theory of gravitation arising from correcting Newton’s wrong metaphysical presumptions about calculus”.
“Academic
imperialism begins with Western education, which has not been seriously challenged
in hard sciences. Colonialism changed the system of education as a key means of
containing revolt, and stabilising Western rule.”
“Since bad
history and philosophy of science violently distorted by the religious
fanaticism which overwhelmed Europe from the 11th to 17th
Centuries, it is necessary to dismantle and expose the falsehoods of this
Western history of science and its accompanying philosophy of science.”
“We need to construct
a new pedagogy, particularly in the hard sciences, and demonstrate its
practical value, to dismantle the Western power structure at the level of
higher-education and research.”
“The point
about academic imperialism is not just to talk about it, but to end it.”
“Talking
about it is useful only in so far as it helps to understand the key causes and
remedies.”
“The UCT
panel discussion gave the panelists and audience another chance to academically
engage with my views and contest them publicly. This did not happen, though it
had a mathematician, a philosopher, and an educationist, all senior faculty
members from UCT and Stellenbosch. The
respondents hardly engaged and did not refute any of my central points. Many in
the audience agreed with me. Hence, the panel discussion was widely seen as an
academic victory for decolonisation.”
N.B. I was
there. The panelists engaged/contested
with him. Due to his confusing mode of
presentation, it was impossible to “refute” anything he said. Those in the audience who “agreed” with him
were mainly young people (students?).
There was no “victory”.
“The top
mathematician in the world, Sir Michael Atiyah, had tried to grab credit for
one of my theories (Time: Towards a Consistent Theory, Kluwer ,1994),
and connived to get published a prominent article giving him credit for it.”
“The formal
mathematician on the UCT panel [Laurie] asserted he had such magical powers to
work with invisible points (obviously not able to transmit it to others!). I
then said that talk of invisible points is a deliberate con-trick. Anyone who
denies this is deluded.”
“Euclid must fall. some in the UCT
community must bear the pain, which is nothing compared to the pain inflicted
on blacks during apartheid.”
“On the
actual evidence, the anonymous “author of the Elements” was a
black woman who was raped and killed in a church.”
“Murugan
further tries to frighten people by asserting that students will fall behind if
they accept my way of teaching. This is a deliberate and vicious lie. My course
on calculus makes math easy, hence it enables students to do harder problems.”
“The
students who do my course would get better jobs, because they learn to do
things well beyond anything done in current school or first-year calculus
courses.”
“Murugan
might lose his job if decolonisation is implemented and he doesn’t retrain. He did not reveal his other conflict of interests.
He is a collaborator - and a student - of
G.F.R. Ellis, an influential UCT academic from apartheid days, whose
work I attacked at the UCT panel discussion.”
“That is UCT
math department for you, no evidence needed for anything. The UCT math
department is clearly part of the math problem facing blacks in the country,
for it uses lies and mere authority to block serious alternatives from being
tried out.”
“Because
Western universities were totally owned by the church, over the centuries, the
imported math was wrapped in a variety of myths and superstitions.“
“Deductive
proofs can be used to prove any pre-desired conclusion, from suitable
postulates, validated on the strength of mere authority in anti-empirical
formal math.”
“Ellis won
the million-dollar Templeton award, for science and religion, for helping to
pass off such key politically-motivated church dogmas as “reputable” though not
refutable “science”.
“Global
general relativity, created by Penrose and Hawking, is an example of
“reputable” Western pseudoscience in action.”
“The
singularities of Hawking/Ellis are just an artefact of bad (formal) math.”
“Students
must choose to eliminate the myths and superstitions of formal math. It leads
to greater conceptual clarity. This is beneficial to the students even though
it diminishes colonial authority. Black students still suffering under that
authority need to be liberated. They should not wait for approval. Students
must claim the right to choose between the practical value of normal math
against the myths and superstitions of formal math, unreasonably enforced by
the formal math community. They must claim the right to institute parallel decolonised
courses, and decide for themselves which courses are better.”
“I would
like to take this occasion to thank the Deputy Vice Chancellor Loretta Feris
and the Curriculum Change Working Group for showing the courage to organize
this panel discussion in the midst of such a muck of prejudice. What is has achieved
is to expose the academic bankruptcy of the fuming opponents of decolonisation:
they have used up the entire arsenal of academic and non-academic swear words,
without advancing a single serious academic argument! This shows it was a
greater victory for South Africa.”
In short, a handful of UCT non-mathematical, critical (race?)
theorists invited a ‘conspiracy theorist’ to talk about decolonisation of
science. In addition to wasting the valuable/limited time of overworked/underpaid
academics, the Transformation DVC and CCWG should consider the impact on the morale
of ignoring the views of its best, brightest and most dedicated academics, choosing
to favour, dare I say conspire with, Fallists who ‘lapped up’ his ‘views’.
In the cyber
journal Ground Up. Jeff Murugan puts it best: ““The changes that Raju advocates in his decolonising mathematics project amount to a neo-bantu education that, if implemented in South Africa, would see students unable to compete in the global marketplace of ideas.”
Jeff wrote at length on Raju’s ‘views’ to DVC Feris, VC Price, DVC and Maths colleague Daya Reddy and Dean of Science Anton Le Roux, stipulating that I do not pass on his comments. But, I will say that they are a devastating refutation to say the very, very least from cultural as well as academic perspectives.
In response to a question whether giving official sanction to Raju, who dismisses almost the entire body of work done by UCT’s mathematic scientists, is a productive way of taking forward the decolonisation debate, Feris replied:
“Professor Raju was invited not so that his views by necessity replace existing ones, but rather as a departure point for debate. Raju challenges existing dogma at a time when we as a university are reflecting on our colonial history and the ways in which we as a country have embraced colonial epistemology. Raju’s message to students is that they should question Western Authority on science and insist instead on empirical evidence on truth. To faculty, he asks that if we teach the exact similar science as taught in the West, we should be able to justify why that is so. First – we must explain our exclusion of other approaches to science from other parts of the world. Secondly, we should demonstrate the benefits of science as taught and understood in the West, and explain why local communities may be rendered only beneficiaries, and never co-producers of scientific knowledge. Professor Raju essentially rejects the notion that the Western philosophy of science and maths is objective and universal. This aligns with the decolonial questioning of Western thought as the singular truth. Professor Raju invites us to think about philosophy other than that which originated in the West, Eastern and African philosophies of science and maths. It seems to me like a constructive way to engage in a discussion on decolonial thinking, regardless of the discipline.”
I close with a George Ellis quote:
“His talk has nothing positive to contribute to the discussion, not just because he advocates replacing the internationally agreed approach to mathematics and physics by his own idiosyncratic views, but particularly because he explicitly advocates ignoring the views of international experts on scientific topics in his decolonial approach to science and maths. If UCT were to follow that route, we’d better close down the science and engineering faculties. The degrees we will produce will be worthless.”
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